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Finding the Fourth Proportional to 414.76, 572.04 and 248.94

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Solution

The fourth proportional to 414.76, 572.04 and 248.94 is: 343.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.76 : 572.04 = 248.94 : x
  2. Step 2: Convert to fraction form
    414.76/572.04 = 248.94/x
  3. Step 3: Cross multiply
    414.76x = 572.04 × 248.94
  4. Step 4: Simplify right side
    414.76x = 142,404.14
  5. Step 5: Solve for x
    x = 142,404.14/414.76
  6. Step 6: Final answer
    x = 343.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.